Greatest Common Factor of 4872 and 4880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4872, 4880 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4872 and 4880 is 8.

GCF(4872,4880) = 8

GCF of 4872 and 4880

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4872 and 4880

GCF of 4872 and 4880 is 8

Prime Factorization of 4872


2 4872
2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 4872 are 2,3,7,29. Prime factorization of 4872 in exponential form is:

4872 = 23×31×71×291

Prime Factorization of 4880


2 4880
2 2440
2 1220
2 610
5 305
61 61
1

Prime factors of 4880 are 2,5,61. Prime factorization of 4880 in exponential form is:

4880 = 24×51×611

∴ So by taking common prime factors GCF of 4872 and 4880 is 8

Greatest Common Factor of 4872 and 4880 by matching factors method

Factors of 4872

List of positive integer factors of 4872 that divides 4872 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,29,42,56,58,84,87,116,168,174,203,232,348,406,609,696,812,1218,1624,2436,4872

Factors of 4880

List of positive integer factors of 4880 that divides 4880 without a remainder.

1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880

Greatest Common Factor

We found the factors and prime factorization of 4872 and 4880. The biggest common factor number is the GCF number.
So the greatest common factor 4872 and 4880 is 8.

Also check out the Least Common Multiple of 4872 and 4880

Properties of GCF 4872 and 4880

(i) The GCF of 4872 and 4880 is associative

GCF of 4872 and 4880 = GCF of 4880 and 4872

Related Greatest Common Factor of 4872

Related Greatest Common Factor of 4880

Frequently Asked Questions on GCF of 4872 and 4880

1. What is the GCF of 4872 and 4880?

Answer: GCF of 4872 and 4880 is 8.

2. What are the Factors of 4872?

Answer: Factors of 4872 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 29, 42, 56, 58, 84, 87, 116, 168, 174, 203, 232, 348, 406, 609, 696, 812, 1218, 1624, 2436, 4872. There are 32 integers that are factors of 4872. The greatest factor of 4872 is 4872.

3. What are the Factors of 4880?

Answer: Factors of 4880 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, 4880. There are 20 integers that are factors of 4880. The greatest factor of 4880 is 4880.

4. How to Find the GCF of 4872 and 4880?

Answer:

Greatest Common Factor of 4872 and 4880 = 8

Step 1: Find the prime factorization of 4872

4872 = 2 x 2 x 2 x 3 x 7 x 29

Step 2: Find the prime factorization of 4880

4880 = 2 x 2 x 2 x 2 x 5 x 61

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4872 and 4880 is 8